Risk Management FINANCE 362 S2 2024AssignmentDue Date: 11.59 pm, Friday 16 August 2024Instructions:1. Answer all 5 questions in order and show all your workings. Please clearly record down the question numbers.2. All assignments are to be handed online via Canvas in PDF format. Please visit the link below for the step-by-step help on submission.
uoa.custhelp.com/app/answers…. Hand-written answers are also acceptable unless it is otherwise stated in the question. Please write your answers neatly and legibly. You will need to scan your hand-written assignments and convert to a PDF file for submission. If using Excel, insert a picture into a word or pdf file.4. Make sure you submit ONLY ONE file. 5. Late submission will NOT be accepted.
Question 1 (10 Marks)The West Texas Intermediate (WTI) Light Sweet Crude Oil futures contract, as one of the world’s most liquid energy futures contract, provides market participants with direct exposure to the crude oil market.On 15 February 2006 a speculator who expects the crude oil price to fall over the short term sells ten June 2006 WTI futures contracts at a price of USD 62.17perbarrel.Thespeculatorclosesoutthefuturespositionon1March2006atapriceofUSD66.36 per barrel. Each contract is written on 1,000 barrels of crude oil (“contract size”). The initial and maintenance margins are USD 5.00andUSD3.00 per barrel, respectively. The daily settlement prices for the June 2006 WTI futures contract during the holding period are shown in the table below. Note futures contracts are traded only on business days.Required:(a) At the time the futures position is established on 15 February 2006, what is the minimum price movement on a per barrel basis that would generate a margin call? Report your answer in 2 decimal places (dps). (2 marks)(b) Construct a table as below to illustrate the daily marking-to-market (and final settlement) of the speculator’s overall futures position for the ten contracts. Assume no withdrawals of any money deposited to the “Initial and Margin account balance”. If there is a shortfall in the “Initial and Margin account balance” at the end of any trading day, the speculator will receive the margin call soon afterwards (i.e., within the same day), and is able to top up the margin account balance back to initial margin level by the start of the next trading day as instructed. (6 marks)DateTrade PriceSettlement or Futures PriceDaily gain/lossCumulative gain/lossMargin account balanceMargin call (/barrel)(/barrel)()()()()
2006-02-1562.1762.1700??2006-02-16 63.04????2006-02-17 63.92????2006-02-21 64.99????2006-02-22 64.60????2006-02-23 65.13????2006-02-24 66.30????2006-02-27 65.28????2006-02-28 65.91????2006-03-0166.3666.36????
Profit/loss ???
Note: the format of the table is identical to Table 2.1 on page 46 of the prescribed textbook.(c) What is the overall profit/loss of the speculator? Decompose the overall profit/loss into two components: (i) total margin calls, and (ii) the change in the margin account balance. (2 marks)
Question 2 (10 Marks)In mid-July, JK Ltd (a US firm) holds a pay-fixed, receive-floating 6x9 FRA contract which was entered into 6 months ago (i.e. in mid-January). The FRA rate is 0.70% per annum and the notional amount is 20,000,000.The6x9FRAreachesexpirationnow(inmid−July),andthefollowingLIBORratesareobservedfromthemarket:MaturityInterestrate(p.a.)30−dayLIBOR0.5ntdivisionofafinancialservicesfirm,isdevelopingearningsforecastforasmalllocaldairycompanyinNewZealand(NZ).Thecompany’srevenuesarecloselylinkedtothepriceofglobaldairycommodityproducts,whicharesetbytheglobalmarketandpricedinUSdollars(USD).AllexpensesofthecompanyareincurredinthelocalmarketanddenominatedinNZdollars(NZD).ThestrengthoftheNZeconomydependssignificantlyonsalesofdairycommodityproductsdenominatedinUSD.Asaresult,movementsinworlddairycommodityproductsinUSDtermsandthevalueoftheNZDarestronglypositivelycorrelated.ThatisanincreaseintheUSDpriceofdairycommoditiesisstronglycorrelatedwithanincreaseinthevalueoftheNZDagainsttheUSD.Anincreaseincommoditypriceswouldincreasethecompany’ssalesinUSDterms,allelsebeingequal.Ontheotherhand,theappreciationoftheNZDrelativetotheUSDwouldreducethecompany’ssalesintermsofthehomecurrency(NZD).Thecompany’schiefriskofficer,hasmadethefollowingstatement:“ThecompanyhasrejectedhedgingthemarketriskofadeclineinglobaldairycommoditypricesbysellingcommodityfuturesandhedgingthecurrencyriskofadepreciationoftheUSdollarrelativetoourhomecurrency(NZD).Wehavedecidedthatamoreeffectiveriskmanagementstrategyforourcompanyistonothedgeeithermarketriskofcommoditypricechangesorcurrencyrisk.”Required:(a)Statewhetherthecompany’sdecisiontonothedgecommoditymarketriskisjustified.Explainyouranswerwithatleastonereason.(Pleasetypeyouranswers,wordlimit200).(5marks)(b)Statewhetherthecompany’sdecisiontonothedgecurrencyriskisjustified.Explainyouranswerwithatleastonereason.(Pleasetypeyouranswers,wordlimit200).(5marks)<br>Question4(10Marks)Supposeyouobservethefollowingmarketdataondebtsecurities:SecurityCoupon(p.a.)Yieldtomaturity(p.a.continuouslycompounded)6−monthTreasuryBondn.a.2.001.00 and coupons are paid semi-annually. You should assume the zero-coupon rate calculated in part (a) above.Hint: Use the following formula to measure the duration of the bond portfolio, i.e.,, where ti, ci, and ri denote for term, cash-flows, and zero-coupon yield for the ith period. (6 marks)
Question 5 (10 Marks)Union Pacific Railroads, the largest railroad corporation in the United States, consumes approximately 1,200 million gallons of diesel fuel per annum. Assume the price that Union Pacific pays for its diesel fuel is best approximated by the diesel fuel benchmark Ultra-Low Sulfur No. 2 Diesel Fuel Los Angeles. In the absence of any futures contract on diesel fuel the railroad decides to hedge its fuel price risk using one of the following nearby NYMEX futures contracts: (i) Crude Oil (Light-Sweet, Cushing, Oklahoma), (ii) RBOB Regular Gasoline (New York Harbor), and (iii) No. 2 Heating Oil (New York Harbor). Union Pacific must determine which one of these NYMEX futures contracts is the best for hedging its fuel price risk.Note: You would need to use the end-of-month prices of diesel fuel and the three NYMEX futures contracts over the five-year period from August 2016 to July 2021 in the Excel data file published on Canvas.Required:(a) Provide a single table showing the time series of monthly returns for each price series. Returns are to be calculated using the natural logarithm of the price relative — i.e., . You should be familiar with this method from FINANCE 261. (4 marks) (b) Use the monthly ‘return’ data in an OLS regression model to obtain estimates of the optimal hedge ratio and hedging effectiveness for each futures contract over the entire period. Provide a copy of the regression output. Indicate clearly the optimal hedge ratio and hedging effectiveness for each contract. (4 marks) (c) Which futures contract should Union Pacific use to hedge its diesel fuel price risk? What position of the nearby future contracts will it need to trade to hedge the price risk on an expected monthly diesel consumption of 100 million gallons? Explain your answers (Please type your answers, word limit 100). (2 marks)
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